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Voting patterns in 2016: Exploration using multilevel regression and poststratification (MRP) on pre-election polls Rob Trangucci *‡ Imad Ali Andrew Gelman Doug Rivers ‡§ 01 February 2018 Abstract We analyzed 2012 and 2016 YouGov pre-election polls in order to understand how different population groups voted in the 2012 and 2016 elections. We broke the data down by demographics and state and found: The gender gap was an increasing function of age in 2016. In 2016 most states exhibited a U-shaped gender gap curve with respect to edu- cation indicating a larger gender gap at lower and higher levels of education. Older white voters with less education more strongly supported Donald Trump versus younger white voters with more education. Women more strongly supported Hillary Clinton than men, with young and more educated women most strongly supporting Hillary Clinton. Older men with less education more strongly supported Donald Trump. Black voters overwhelmingly supported Hillary Clinton. The gap between college-educated voters and non-college-educated voters was about 10 percentage points in favor of Hillary Clinton We display our findings with a series of graphs and maps. The R code associated with this project is available at https://github.com/rtrangucci/mrp_2016_election/. * University of Michigan Columbia University YouGov § Stanford University 1 arXiv:1802.00842v3 [stat.AP] 14 Mar 2018
Transcript
Page 1: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Voting patterns in 2016: Exploration using multilevel regression

and poststratification (MRP) on pre-election polls

Rob Trangucci∗‡ Imad Ali† Andrew Gelman† Doug Rivers‡§

01 February 2018

Abstract

We analyzed 2012 and 2016 YouGov pre-election polls in order to understand how

different population groups voted in the 2012 and 2016 elections. We broke the data

down by demographics and state and found:

• The gender gap was an increasing function of age in 2016.

• In 2016 most states exhibited a U-shaped gender gap curve with respect to edu-

cation indicating a larger gender gap at lower and higher levels of education.

• Older white voters with less education more strongly supported Donald Trump

versus younger white voters with more education.

• Women more strongly supported Hillary Clinton than men, with young and more

educated women most strongly supporting Hillary Clinton.

• Older men with less education more strongly supported Donald Trump.

• Black voters overwhelmingly supported Hillary Clinton.

• The gap between college-educated voters and non-college-educated voters was

about 10 percentage points in favor of Hillary Clinton

We display our findings with a series of graphs and maps. The R code associated with

this project is available at https://github.com/rtrangucci/mrp_2016_election/.

∗University of Michigan†Columbia University‡YouGov§Stanford University

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Contents

1 Introduction 3

2 Data and methods 32.1 Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32.2 Methods . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3

3 Results 63.1 Election results graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6

3.1.1 County-level vote swings . . . . . . . . . . . . . . . . . . . . . . . . . 73.1.2 State-level election results and vote swings . . . . . . . . . . . . . . . 10

3.2 Poststratification graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133.2.1 Gender gap . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143.2.2 Vote by education . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183.2.3 Vote by income, age, education, and ethnicity . . . . . . . . . . . . . 193.2.4 Voter turnout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243.2.5 Maps of vote preference . . . . . . . . . . . . . . . . . . . . . . . . . 303.2.6 Maps of voter turnout . . . . . . . . . . . . . . . . . . . . . . . . . . 42

4 Discussion 45

5 Appendix A - Model Code 47

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1. Introduction

After any election, we typically want to understand how the electorate voted. While nationaland state results give exact measures of aggregate voting, we may be interested in votingbehavior that cuts across state lines, such as how different demographic groups voted. Exitpolls provide one such measure, but without access to the raw data we cannot determineaggregates beyond the margins that are supplied by the exit poll aggregates.

In pursuit of this goal, we can use national pre-election polls in which respondents areasked for whom they plan to vote and post-election polls in which respondents are askedif they participated in the election, both of which record demographic information andstate residency of respondents. Using this data, we then build a statistical model that usesdemographics and state information to predict the probability that an eligible voter votedin the election and which candidate a voter supports. A model that accurately predictsvoting intentions for specific demographic groups (e.g. college-educated Hispanic men livingin Georgia) will require deep interactions as outlined in [1]. In order to precisely learn thesecond- and third-order interactions, we require a large dataset that covers many disparategroups.

Armed with our two models, we can use U.S. Census data to yield the number of peoplein each demographic group. For each group, we then predict the number of voters, and thenumber of votes for each candidate to yield a fine-grained dataset. We can then aggregatethis dataset along any demographic axes we choose in order to investigate voting behavior.

2. Data and methods

2.1. Data

We use YouGov’s daily tracking polls from 10/24/2016 through 11/6/2016 to train the 2016voter preference model. We included 56,946 respondents in the final dataset after filteringout incomplete cases. To train the 2012 voter preference model we used 18,716 respondentspolled on 11/4/2012 from YouGov’s daily tracking poll.

In order to train the 2016 voter turnout model, we use the Current Population Survey(CPS) from 2016, which includes a voting supplement ([2]). The model used 80,766 responsesfrom voters as to whether they voted in the 2016 presidential election. We used the CPSfrom 2012 to train the 2012 voter turnout model, which comprises 81,017 voters. We decidedto use the CPS to train our model because it is viewed as the gold-standard in voter-turnoutpolling [3].

We use a modified version of the 2012 Public Use Microdata Sample Census dataset(PUMS) to get a measure of the total number of eligible voters in the U.S. YouGov providedthe PUMS dataset with ages and education adjusted to match the 2016 population.

2.2. Methods

Our methodology follows that outlined in [4], [1], and [3]. For voter i in group g as definedby the values of a collection of categorical variables, we want to learn the voter’s propensity

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to vote and for whom they plan to vote, by using a nonrandom sample from the populationof interest. We assume that an individual voter’s response in group g is modeled as follows:

Ti ∼ Bernoulli(αg[i])

where Ti is 1 if the voter plans to vote for Trump, or 0 otherwise. αg[i] is the probabilityof voting for Trump for voter i in group g. In order to make inferences about αg[i] with-out modeling the selection process, we need to stratify our respondents into small enoughgroups so that within a cell selection is random (i.e. that the responses are Bernoulli randomvariables conditional only on g). We do so by generating multidimensional cells defined bydemographic variables like age, ethnicity, and state of residence that categorize our respon-dents. This induces data sparsity even in large polls so we must use Bayesian hierarchicalmodels to partially pool cells along these demographic axes.

Upon fitting our model, we can use the posterior mean of αg, α̂g and Census data to

estimate an aggregate Trump vote proportion by calculating the weighted average∑

g∈DNgα̂g

ND

for whatever demographic category D we like.We measure our electorate using six categorical variables:

• State residency

• Ethnicity

• Gender

• Marital status

• Age

• Education

Each variable v has Lv levels. State residency has fifty levels. Ethnicity has four levels:Black, Hispanic, Other, and White. Gender has two levels. Marital status has three levels:Never married, Married, Not married. Age has four levels, corresponding to the left-closedintervals of age: [18, 30), [30, 45), [45, 65), [65, 99). Education has five levels: No High School,High School, Some College, College, Post Graduate.

After binning our Census data by the six-way interaction of the above attributes, wegenerate table 2.2. Each row of the table represents a specific group of the population, anintersection of six observable attributes. We refer to each row as a cell, and the full table asa six-way poststratification table. Our table has 33,561 cells, reflecting the fact that not allpossible six-way groups exist in the U.S..

We then add columns to this dataset that represent the cell-by-cell probability of votingand the cell-by-cell probability of supporting Trump, which can be combined to yield theexpected number of Trump voters, E [Tg], in each cell g: E [Tg] = N × φg × αg|vote whereφg is the expected probability of voting in cell g, and αg|vote is the expected probability ofvoting for Trump for voters in cell g

In order to generate φg and αg|vote, we build two models: a voter turnout model and avote preference model, respectively. Both models are hierarchical binomial logistic regressionmodels of the form:

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Table 1: Six-way poststratification tableCell index g State Ethn. Gender . . . Educ. N φg αg|vote E [Tg]

1 AK Black Female . . . College 400 0.40 0.50 802 AK Black Female . . . High School 300 0.30 0.60 54

. . . . . . . . . . . . . . . . . . . . . . . .

. . . . . . . . . . . . . . . . . . . . . . . .33651 WY White Male . . . Some College 200 0.40 0.40 32

Tg ∼ Binomial(Vg, φg) , g ∈ {1, . . . , G}

logitφg = µ+∑v ∈V

βv[v[g]]

βv ∼ Normal(0, τv)∀v ∈ V

τv =√πv|V |S2

π ∼ Dirichlet(1)

S ∼ Gamma(1, 1)

Each categorical predictor, βv, is represented as a length-Lv vector, where the elements ofthe vector map to the effect associated with the level lv. V denotes the set of all categoricalpredictors included in the model and v[g] is a function that maps the g-th cell to the ap-propriate lv-th level of the categorical predictor. For example, βstate would be a 50-elementvector, and state[ ] is a length-G list of integers with values between 1 and 50 indicating towhich state the g-th cell belongs. Note that the model above can include one-way effects inV , as well as two-way and three-way interactions, like state × age.

We use rstanarm to specify the voter turnout model and the voter preference model,which uses lme4 syntax to facilitate building complex hierarchical generalized linear modelslike above. The full model specifications in lme4 syntax are given in the Appendix. rstanarmimposes more structure on the variance parameters τv than is typical. In our model, τ 2v is theproduct of the square of a global scale parameter S the v-th entry in the simplex parameterπ, and the cardinality of V , |V |. See [5] for more details.

Our voter preference model went through multiple iterations before we arrived at ourfinal model. At first we intended to include past presidential vote. However, PUMS doesnot include past presidential vote, so we used YouGov’s imputed past presidential vote foreach PUMS respondent. This induced too much sparsity in our poststratification frame.

After training each of the models, and generating predictions for voter turnout by celland two-party vote preference for each cell, we adjusted our turnout and vote proportionsin each cell to match the actual state-by-state outcomes as outlined [1].

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Table 2: Variables in the vote preference model

stan glmer() Variable Description Type Number of Groups

y Vote choice Outcome variable -1 Intercept Global intercept -female Fem.: 0.5, Male: -0.5 Global slope -state pres vote Pre-election poll average Global slope -state State of residence Varying intercept 50age Age Varying intercept 4educ Education attained Varying intercept 51 + state pres vote | eth Ethnicity Varying intercept and slope 4marstat Marital status Varying intercept 3marstat:age Varying intercept 3×4 = 12marstat:state Varying intercept 3×50 = 150marstat:eth Varying intercept 3×4 = 12marstat:gender Varying intercept 3×2 = 6marstat:educ Varying intercept 3×5 = 15state:gender Varying intercept 50×2 = 100age:gender Varying intercept 4×2 = 8educ:gender Varying intercept 5×2 = 10eth:gender Varying intercept 4×2 = 8state:eth Varying intercept 50×4 = 200state:age Varying intercept 50×4 = 200state:educ Varying intercept 50×5 = 250eth:age Varying intercept 4×4 = 16eth:educ Varying intercept 4×5 = 20age:educ Varying intercept 4×5 = 20state:educ:age Varying intercept 50×4×4 = 800educ:age:gender Varying intercept 5×4×2 = 40

3. Results

This section presents plots at the county and state level, followed by charts and maps thatillustrate the poststratification. In addition to vote intention, the charts and maps alsoillustrate voter turnout. The county and state level plots use 2016 and 2012 election resultsand 2010 US census data. The captions of the charts and maps identify which model is usedto produce the data illustrated in the figure. The models are defined as follows:

Model 1 is described in Section 2 above.

Model 2 is similar to Model 1 but includes income as a factor variable and omits maritalstatus. The 2016 vote turnout model for Model 2 was fitted to 2012 CPS.

3.1. Election results graphs

The graphs that follow present actual election results by county and by state. They are notmodel-based, but rather an examination of the Republican vote proportion swing from 2012

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to 2016 by county versus various demographic variables measured at the county level.

3.1.1. County-level vote swings

Figure 1: County-level Republican Swing by Income

Notes: The county-level Republican swing is computed as Donald Trump’s 2016 two-party vote share minusMitt Romney’s 2012 two-party vote share. Positive values indicate Trump outperforming Romney, whilenegative values indicate Romney outperforming Trump. The area of each circle is proportional to thenumber of voters in each county. Overall, Trump outperformed Romney in counties with lower medianincome. While Trump mostly outperformed Romney in counties with lower voter turnout, Romney mostlyoutperformed Trump in counties with larger voter turnout.

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Figure 2: County-level Republican Swing by College Education

Notes: The county-level Republican swing is computed as Donald Trump’s 2016 two-party vote share minusMitt Romney’s 2012 two-party vote share. Positive values indicate Trump outperforming Romney, whilenegative values indicate Romney outperforming Trump. The area of each circle is proportional to thenumber of voters in each county. Overall, Trump outperformed Romney in counties with lower collegeeducation. While Trump mostly outperformed Romney in counties with lower voter turnout, Romney mostlyoutperformed Trump in counties with larger voter turnout.

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Figure 3: County-level Republican Swing by Region as a Function of Income and CollegeEducation

Notes: The county-level Republican swing is computed as Donald Trump’s 2016 two-party vote share minusMitt Romney’s 2012 two-party vote share. Positive values indicate Trump outperforming Romney, whilenegative values indicate Romney outperforming Trump. The area of each circle is proportional to thenumber of voters in each county. Across all regions there is a trend of Trump outperforming Romney in lowincome counties and counties with lower college education. The trend of Trump performing well in countieswith lower college education is less apparent in western counties.

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3.1.2. State-level election results and vote swings

Figure 4: Republican Share of the Two-Party Vote 2012-2016

0.3 0.4 0.5 0.6 0.7

0.3

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Nationally, Trump got 2% more of the vote than Romney

Romney share of the two−party vote in 2012

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016

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Notes: The state-level Republican share of the two-party vote.States are color coded according to the results of the 2012election. States won by Mitt Romney are in red and stateswon by Barack Obama are in blue. The diagonal line indicatesthat the 2012 and 2016 Republican candidates received identicalshares of the two-party vote. In most states Trump received ahigher share of the two-party vote. Nationally, Trump got 2percent more of the two-party vote than Romney.

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Figure 5: Republican Swing from 2012 to 2016

0.4 0.5 0.6 0.7

Swing from 2012 to 2016: Lots of variation among states

Romney vote in 2012

(Tru

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Graph omits Utah, where Trumpdid 13% worse than Romney

Notes: The state-level Republican swing. States are color coded according to theresults of the 2012 election. States won by Mitt Romney are in red and stateswon by Barack Obama are in blue. Positive values indicate Trump outperformingRomney and negative values indicate Romney outperforming Trump. There islots of variation among states with Trump outperforming Romney in most states.

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Figure 6: Trump’s Actual and Forecasted Vote Share

0.4 0.5 0.6 0.7

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Nationally, Trump got 2% more of the vote than predicted

Poll−based forecast of Trump vote

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Notes: A state-level comparison between Donald Trump’s actualtwo-party vote share and his forecasted vote share. States arecolor coded according to the results of the 2012 election. Stateswon by Mitt Romney are in red and states won by BarackObama are in blue. Values on the diagonal indicate that Trump’sactual performance was in line with his forecast. In most statesTrump outperformed his poll-based forecast.

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Figure 7: Trump’s Actual Minus Forecasted Vote Share

0.4 0.5 0.6 0.7

Trump did much better than predicted in states that Romney won in 2012

Poll−based forecast of Trump vote

(Tru

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Notes: A state-level comparison of Donald Trump’s actual vote share againsthis poll-based forecast. States are color coded according to the results of the2012 election. States won by Mitt Romney are in red and states won by BarackObama are in blue. Positive values indicate states in which Trump outperformedhis forecast and negative values indicate in which Trump’s actual performancefell behind his forecast. Trump did better than predicted in states that Romneywon in 2012.

3.2. Poststratification graphs

The graphs that follow are generated using the multilevel regression and poststratificationmethod outlined in the Methodology section.

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3.2.1. Gender gap

Figure 8: Gender Gap (Men minus Women) by Education and AgeGender Gap by Education

Gen

der

Gap

< HS HS CollegeSomeCollege

Post−grad

0%

5%

10%

15%

20%

Gender Gap by Age

18−29 30−44 45−64 65+

0%

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10%

15%

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Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UT

Battleground States: ME NH PA NC FL MI WI MN NE CO AZ NV

Blue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2016_modeled.RDSNotes: The gender gap is evaluated as men’s probability of voting for Trumpminus women’s probability for of voting for Trump for various education and agelevels. Larger values indicate a greater divergence in vote preference betweenmen and women.(Using Model 1.)

Figure 9: Gender Gap (Men minus Women) by Education and Age - 2012 ElectionGender Gap by Education

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der

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Gender Gap by Age

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Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UT

Battleground States: ME NH PA NC FL MI WI MN NE CO AZ NV

Blue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2012_modeled.RDSNotes: The gender gap is evaluated as men’s probability of voting for Romneyminus women’s probability for of voting for Romney for various education andage levels.(Using Model 1 with 2012 election results/turnout data.)

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Figure 10: Gender Gap by Education for each Age Category

Under 30G

ende

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Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UTBattleground States: ME NH PA NC FL MI WI MN NE CO AZ NVBlue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2016_modeled.RDSNotes: The gender gap is evaluated as men’s probability of voting for Trump minus women’s probabil-ity for of voting for Trump for various education levels. Larger values indicate a greater divergence invote preference among women and men. Interactions exist between age and education conditional ongender. Overall, the gender gap increases with age. Among voters under 45 the gender gap is lowestfor those with a college education, and among voters 45 years or older the gender gap is lowest forthose with a high school education.(Using Model 1.)

Figure 11: Gender Gap by Education for each Age Category - 2012 Election

Under 30

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Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UTBattleground States: ME NH PA NC FL MI WI MN NE CO AZ NVBlue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2012_modeled.RDSNotes: The gender gap is evaluated as men’s probability of voting for Romney minus women’s proba-bility for of voting for Romney for various education levels. Larger values indicate a greater divergencein vote preference among women and men. Interactions exist between age and education conditionalon gender.(Using Model 1 with 2012 election results/turnout data.)

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Figure 12: Gender Gap by Education (Men minus Women)Gender Gap by Education (Men minus Women)

Hawaii

0%

11%

22%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

0%

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22%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

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22%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

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Montana

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22%Kansas Utah Nebraska Tennessee Arkansas

No

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e

0%

11%

22%Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

North Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Post Strat: pstrat_2016_modeled.RDS

Notes: The state-level gender gap is evaluated as men’s probability of voting for Trump minus women’sprobability for of voting for Trump for various education levels. Larger values indicate a greater divergencein vote preference among women and men. In most states, voters with a high school education level tend tohave the lowest gender gap and voters with a post graduate education level tend to have the highest gendergap.(Using Model 1.)

16

Page 17: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 13: Gender Gap by Age (Men minus Women)Gender Gap by Age (Men minus Women)

Hawaii

0%

10%

20%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

0%

10%

20%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

0%

10%

20%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

0%

10%

20%Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

0%

10%

20%Kansas Utah Nebraska Tennessee Arkansas

Und

er 3

0

30−

45

45−

65

65+

Alabama

Und

er 3

0

30−

45

45−

65

65+

Kentucky

Und

er 3

0

30−

45

45−

65

65+

South Dakota

Und

er 3

0

30−

45

45−

65

65+

Idaho

Und

er 3

0

30−

45

45−

65

65+

0%

10%

20%Oklahoma

Und

er 3

0

30−

45

45−

65

65+

North Dakota

Und

er 3

0

30−

45

45−

65

65+

West Virginia

Und

er 3

0

30−

45

45−

65

65+

Wyoming

Und

er 3

0

30−

45

45−

65

65+

Post Strat: pstrat_2016_modeled.RDS

Notes: The state-level gender gap is evaluated as men’s probability of voting for Trump minus women’sprobability for of voting for Trump for various education levels. Larger values indicate a greater divergencein vote preference among women and men. The gender gap increases with age in most states, with largervariation in states that supported Clinton.(Using Model 1.)

17

Page 18: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

3.2.2. Vote by education

Figure 14: Trump’s Share of the Two-Party Vote by Education for each Age Category

Under 30

Trum

p S

hare

of T

wo−

Par

ty V

ote

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

30−45

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

45−65

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

65+

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UTBattleground States: ME NH PA NC FL MI WI MN NE CO AZ NVBlue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2016_modeled.RDSNotes: Republican share of the two-party vote against various education levels. Overall, the Republi-can share increases with age. The strongest support came from voters with a high school education ineach age category, with the exception of 30-45 year olds.(Using Model 1.)

Figure 15: Romney’s Share of the Two-Party Vote by Education for each Age Category -2012 Election

Under 30

Rom

eny

Sha

re o

f Tw

o−P

arty

Vot

e

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

30−45

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

45−65

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

65+

< HS HS CollegeSomeCollege

Post−grad

10%

20%

30%

40%

50%

60%

70%

80%

Red States: AK TX LA MS AL GA SC TN AR OK KS MO KY WV OH IN IA SD ND WY MT ID UTBattleground States: ME NH PA NC FL MI WI MN NE CO AZ NVBlue States: HI VT MA RI CT NJ DE MD NY VA IL NM CA OR WA

Post Strat: pstrat_2012_modeled.RDSNotes: Republican share of the two-party vote against various education levels. Overall, the Republi-can share increases with age.(Using Model 1 with 2012 election results/turnout data.)

18

Page 19: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

3.2.3. Vote by income, age, education, and ethnicity

Figure 16: Trump’s Share of the Two-Party Vote by Income and EducationTrump's Share of Vote by Income

0%

25%

50%

75%U

nder

$30

k

$30−

50k

$50−

100k

Ove

r $1

00k

Trum

p's

Sha

re o

f Vot

e

Post Strat: pstrat_income_UGov_wave_20161130.RDS

Trump's Share of Vote by Education

0%

25%

50%

75%

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Trum

p's

Sha

re o

f Vot

e

Post Strat: pstrat_2016_modeled.RDS

WhitesBlacksHispanicsOthersOverall

Notes: Republican share of the two-party vote for Whites (orange), Blacks (black), Hispan-ics (red), other ethnicities (green), and overall (blue). Trump’s share of the vote is highestamong white voters with a high school education level.(Using Model 2 (left) and Model 1 (right).)

19

Page 20: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 17: Trump’s Share of the Two-Party Vote by Education, Ethnicity, and StateTrump's Share of Vote by Education

Hawaii

0%

50%

100%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

0%

50%

100%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

0%

50%

100%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

0%

50%

100%Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

0%

50%

100%Kansas Utah Nebraska Tennessee Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

South Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

0%

50%

100%Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

North Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2016_modeled.RDS

Notes: State-level Republican share of the two-party vote for Whites (orange), Blacks (black), Hispanics(red), other ethnicities (green), and overall (blue). In most states white voters with high school educationhave the greatest support for Trump and those with post graduate education have the lowest support forTrump.(Using Model 1.)

20

Page 21: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 18: Romney’s Share of the Two-Party Vote by Education, Ethnicity, and State - 2012Election Romeny's Share of Vote by Education

Hawaii

0%

50%

100%Vermont New York Rhode Island Maryland California Massachusetts Delaware New Jersey

Connecticut

0%

50%

100%Illinois Maine Washington Oregon New Mexico Michigan Minnesota Wisconsin

Nevada

0%

50%

100%Iowa New Hampshire Colorado Pennsylvania Virginia Ohio Florida North Carolina

Georgia

0%

50%

100%Arizona Missouri Indiana South Carolina Mississippi Montana Alaska Texas

Louisiana

0%

50%

100%South Dakota North Dakota Tennessee Kansas Nebraska

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

0%

50%

100%Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Utah

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2012_modeled.RDS

Notes: State-level Republican share of the two-party vote for Whites (orange), Blacks (black), Hispanics(red), other ethnicities (green), and overall (blue).(Using Model 1 with 2012 election results/turnout data.)

21

Page 22: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 19: Trump’s Share of the Two-Party Vote by Age, Ethnicity, and StateTrump's Share of Vote by Age

Hawaii

0%

50%

100%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

0%

50%

100%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

0%

50%

100%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

0%

50%

100%Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

0%

50%

100%Kansas Utah Nebraska Tennessee Arkansas

Und

er 3

0

30−

45

45−

65

65+

Alabama

Und

er 3

0

30−

45

45−

65

65+

Kentucky

Und

er 3

0

30−

45

45−

65

65+

South Dakota

Und

er 3

0

30−

45

45−

65

65+

Idaho

Und

er 3

0

30−

45

45−

65

65+

0%

50%

100%Oklahoma

Und

er 3

0

30−

45

45−

65

65+

North Dakota

Und

er 3

0

30−

45

45−

65

65+

West Virginia

Und

er 3

0

30−

45

45−

65

65+

Wyoming

Und

er 3

0

30−

45

45−

65

65+

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2016_modeled.RDS

Notes: State-level Republican share of the two-party vote for Whites (orange), Blacks (black), Hispanics(red), other ethnicities (green), and overall (blue). Support for Trump increases with age. Support amongWhites is consistently the strongest followed by support among other races and Hispanics.(Using Model 1.)

22

Page 23: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 20: Romney’s Share of the Two-Party Vote by Age, Ethnicity, and State - 2012Election Romeny's Share of Vote by Age

Hawaii

0%

50%

100%Vermont New York Rhode Island Maryland California Massachusetts Delaware New Jersey

Connecticut

0%

50%

100%Illinois Maine Washington Oregon New Mexico Michigan Minnesota Wisconsin

Nevada

0%

50%

100%Iowa New Hampshire Colorado Pennsylvania Virginia Ohio Florida North Carolina

Georgia

0%

50%

100%Arizona Missouri Indiana South Carolina Mississippi Montana Alaska Texas

Louisiana

0%

50%

100%South Dakota North Dakota Tennessee Kansas Nebraska

Und

er 3

0

30−

45

45−

65

65+

Alabama

Und

er 3

0

30−

45

45−

65

65+

Kentucky

Und

er 3

0

30−

45

45−

65

65+

Arkansas

Und

er 3

0

30−

45

45−

65

65+

West Virginia

Und

er 3

0

30−

45

45−

65

65+

0%

50%

100%Idaho

Und

er 3

0

30−

45

45−

65

65+

Oklahoma

Und

er 3

0

30−

45

45−

65

65+

Wyoming

Und

er 3

0

30−

45

45−

65

65+

Utah

Und

er 3

0

30−

45

45−

65

65+

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2012_modeled.RDS

Notes: State-level Republican share of the two-party vote for Whites (orange), Blacks (black), Hispanics(red), other ethnicities (green), and overall (blue). Support for Trump increases with age.(Using Model 1 with 2012 election results/turnout data.)

23

Page 24: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

3.2.4. Voter turnout

Figure 21: Voter Turnout by Education, Ethnicity and StateVoter Turnout by Education

Hawaii

10%

50%

90%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

10%

50%

90%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

10%

50%

90%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

10%

50%

90%Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

10%

50%

90%Kansas Utah Nebraska Tennessee Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

South Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

10%

50%

90%Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

North Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2016_modeled.RDS

Notes: Voter turnout for Whites (orange), Blacks (black), Hispanics (red), other ethnicities (green), andoverall (blue). Voter turnout increases with education. There is not much variation across states. Withinstates Hispanics typically experienced low voter turnout compared to Whites and Blacks.(Using Model 1.)

24

Page 25: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 22: Voter Turnout by Education, Ethnicity and State - 2012 ElectionVoter Turnout by Education

Hawaii

10%

50%

90%Vermont New York Rhode Island Maryland California Massachusetts Delaware New Jersey

Connecticut

10%

50%

90%Illinois Maine Washington Oregon New Mexico Michigan Minnesota Wisconsin

Nevada

10%

50%

90%Iowa New Hampshire Colorado Pennsylvania Virginia Ohio Florida North Carolina

Georgia

10%

50%

90%Arizona Missouri Indiana South Carolina Mississippi Montana Alaska Texas

Louisiana

10%

50%

90%South Dakota North Dakota Tennessee Kansas Nebraska

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

10%

50%

90%Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Utah

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2012_modeled.RDS

Notes: Voter turnout for Whites (orange), Blacks (black), Hispanics (red), other ethnicities (green), andoverall (blue).(Using Model 1 with 2012 election results/turnout data.)

25

Page 26: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 23: Voter Turnout by Age, Ethnicity and StateVoter Turnout by Age

Hawaii

15%

50%

85% California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

15%

50%

85% Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

15%

50%

85% New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

15%

50%

85% Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

15%

50%

85% Kansas Utah Nebraska Tennessee Arkansas

Und

er 3

0

30−

45

45−

65

65+

Alabama

Und

er 3

0

30−

45

45−

65

65+

Kentucky

Und

er 3

0

30−

45

45−

65

65+

South Dakota

Und

er 3

0

30−

45

45−

65

65+

Idaho

Und

er 3

0

30−

45

45−

65

65+

15%

50%

85% Oklahoma

Und

er 3

0

30−

45

45−

65

65+

North Dakota

Und

er 3

0

30−

45

45−

65

65+

West Virginia

Und

er 3

0

30−

45

45−

65

65+

Wyoming

Und

er 3

0

30−

45

45−

65

65+

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2016_modeled.RDS

Notes: Voter turnout for Whites (orange), Blacks (black), Hispanics (red), other ethnicities (green), andoverall (blue). Voter turnout increases with age. There is low voter turnout among Hispanics across agelevels compared to Whites and Blacks.(Using Model 1.)

26

Page 27: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 24: Voter Turnout by Age, Ethnicity and State - 2012 ElectionVoter Turnout by Age

Hawaii

15%

50%

85% Vermont New York Rhode Island Maryland California Massachusetts Delaware New Jersey

Connecticut

15%

50%

85% Illinois Maine Washington Oregon New Mexico Michigan Minnesota Wisconsin

Nevada

15%

50%

85% Iowa New Hampshire Colorado Pennsylvania Virginia Ohio Florida North Carolina

Georgia

15%

50%

85% Arizona Missouri Indiana South Carolina Mississippi Montana Alaska Texas

Louisiana

15%

50%

85% South Dakota North Dakota Tennessee Kansas Nebraska

Und

er 3

0

30−

45

45−

65

65+

Alabama

Und

er 3

0

30−

45

45−

65

65+

Kentucky

Und

er 3

0

30−

45

45−

65

65+

Arkansas

Und

er 3

0

30−

45

45−

65

65+

West Virginia

Und

er 3

0

30−

45

45−

65

65+

15%

50%

85% Idaho

Und

er 3

0

30−

45

45−

65

65+

Oklahoma

Und

er 3

0

30−

45

45−

65

65+

Wyoming

Und

er 3

0

30−

45

45−

65

65+

Utah

Und

er 3

0

30−

45

45−

65

65+

WhiteBlack

HispanicOther

Overall

Post Strat: pstrat_2012_modeled.RDS

Notes: Voter turnout for Whites (orange), Blacks (black), Hispanics (red), other ethnicities (green), andoverall (blue).(Using Model 1 with 2012 election results/turnout data.)

27

Page 28: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 25: Voter Turnout by Education, Gender and StateVoter Turnout by Education

Hawaii

10%

50%

90%California Vermont Massachusetts Maryland New York Illinois Washington Rhode Island

New Jersey

10%

50%

90%Connecticut Oregon Delaware New Mexico Virginia Colorado Maine Nevada

Minnesota

10%

50%

90%New Hampshire Michigan Pennsylvania Wisconsin Florida Arizona North Carolina Georgia

Ohio

10%

50%

90%Texas Iowa South Carolina Alaska Mississippi Missouri Indiana Louisiana

Montana

10%

50%

90%Kansas Utah Nebraska Tennessee Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

South Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

10%

50%

90%Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

North Dakota

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Women Men Overall

Post Strat: pstrat_2016_modeled.RDS

Notes: Voter turnout for women (red), men (blue), and overall (grey). Voter turnout increases witheducation, with women experiencing a larger voter turnout compared to men.(Using Model 1.)

28

Page 29: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 26: Voter Turnout by Education, Gender and State - 2012 ElectionVoter Turnout by Education

Hawaii

10%

50%

90%Vermont New York Rhode Island Maryland California Massachusetts Delaware New Jersey

Connecticut

10%

50%

90%Illinois Maine Washington Oregon New Mexico Michigan Minnesota Wisconsin

Nevada

10%

50%

90%Iowa New Hampshire Colorado Pennsylvania Virginia Ohio Florida North Carolina

Georgia

10%

50%

90%Arizona Missouri Indiana South Carolina Mississippi Montana Alaska Texas

Louisiana

10%

50%

90%South Dakota North Dakota Tennessee Kansas Nebraska

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Alabama

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Kentucky

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Arkansas

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

West Virginia

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

10%

50%

90%Idaho

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Oklahoma

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Wyoming

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Utah

No

Hig

h S

choo

l

Hig

h S

choo

l

Som

e C

olle

ge

Col

lege

Pos

t Gra

duat

e

Women Men Overall

Post Strat: pstrat_2012_modeled.RDS

Notes: Voter turnout for women (red), men (blue), and overall (grey).(Using Model 1 with 2012 election results/turnout data.)

29

Page 30: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

3.2.5. Maps of vote preference

Figure 27: Gender Gap (Men minus Women)

Notes: State-level gender gap evaluated as men’s probability of voting for Trump minus women’s probabilityfor of voting for Trump. Dark green/orange indicates a larger divergence in vote preference between menand women. The greatest divergence exists among older voters with post graduate education. The weakestsupport exists among young voters with a college education.(Using Model 1.)

30

Page 31: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 28: Trump’s Share of the Two-Party Vote by Age and Education

Notes: State-level vote intention by education and age. Dark red indicates stronger support for DonaldTrump and dark blue indicates stronger support for Hillary Clinton. Overall, older voters with lowereducation have stronger support for Trump and younger voters with higher levels of education have strongersupport for Clinton. In each age bracket Trump has stronger support among voters with high school andsome college education compared to voters with no high school education.(Using Model 1.)

31

Page 32: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 29: Trump’s Share of the Two-Party Vote by Age and Education for Women

Notes: State-level vote intention by education and age for women. Dark red indicates stronger support forDonald Trump and dark blue indicates stronger support for Hillary Clinton. Overall, older women havestronger support for Trump. Women with a post graduate education have stronger support for Clinton,and women with a high school education and some college education have stronger support for Trump.(Using Model 1.)

32

Page 33: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 30: Trump’s Share of the Two-Party Vote by Age and Education for Men

Notes: State-level vote intention by education and age for men. Dark red indicates stronger support forDonald Trump and dark blue indicates stronger support for Hillary Clinton. Older men have strongersupport for Trump whereas younger men have stronger support for Clinton. Overall, men with a postgraduate education have stronger support for Clinton, while men with a high school education have strongersupport for Trump.(Using Model 1.)

33

Page 34: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 31: Trump’s Share of the Two-Party Vote by Age and Education for Whites

Notes: State-level vote intention by education and age for Whites. Dark red indicates stronger supportfor Donald Trump and dark blue indicates stronger support for Hillary Clinton. Older voters with lesseducation had stronger support for Trump, whereas younger voters with more education had strongersupport for Clinton. In terms of education, the strongest support for Clinton comes from voters with a postgraduate education and the strongest support for Trump comes from voters with a high school education.(Using Model 1.)

34

Page 35: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 32: Trump’s Share of the Two-Party Vote by Age and Education for Blacks

Notes: State-level vote intention by education and age for Blacks. Dark red indicates stronger support forDonald Trump among women and dark blue indicates stronger support for Hillary Clinton. Missing cellsare denoted by diagonal lines. Overall, Blacks supported Clinton.(Using Model 1.)

35

Page 36: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 33: Trump’s Share of the Two-Party Vote by Age and Education for Hispanics

Notes: State-level vote intention by education and age for Hispanics. Dark red indicates stronger supportfor Donald Trump and dark blue indicates stronger support for Hillary Clinton. Missing cells are denotedby diagonal lines. A majority of young Hispanics have stronger support for Clinton. Support for Trumpincreases with age at all education levels. There is not much variation across education levels.(Using Model 1.)

36

Page 37: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 34: Trump’s Share of the Two-Party Vote by Age and Education for Other Ethnicities

Notes: State-level vote intention by education and age for ethnicities (not including White, Black, orHispanic). Dark red indicates stronger support for Donald Trump and dark blue indicates stronger supportfor Hillary Clinton. Support for Trump increases with age at all education levels. Support for Trumpconsistently decreases with education (with the exception of the 65+ age bracket).(Using Model 1.)

37

Page 38: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 35: Trump’s Share of the Two-Party Vote by Education and White vs. Non-white

Notes: State-level vote intention for white and non-white voters by education.No college education includes the categories “No High School”, “High School”,and “Some College”. College education includes the categories “College” and“Post Graduate”. Dark red indicates stronger support for Donald Trump anddark blue indicates stronger support for Hillary Clinton. White voters havestronger support for Trump compared to non-white voters, with white voterswith no college education having the strongest support. There is little variationin vote preference across these categories for North Dakota, Wyoming, andIdaho, which consistently support Trump. There is also little variation in votepreference across education levels among non-white voters.(Using Model 1.)

38

Page 39: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 36: Romney’s Share of the Two-Party Vote by Education and White vs. Non-white- 2012 Election

Notes: State-level vote intention for white and non-white voters by educa-tion. No college education includes the categories “No High School”, “HighSchool”, and “Some College”. College education includes the categories“College” and “Post Graduate”. Dark red indicates stronger supportfor Mitt Romney and dark blue indicates stronger support for BarackObama. White voters with no college education had the strongest supportfor Romney. Regardless of college education, non-White voters had thestrongest support for Obama.(Using Model 1 with 2012 election results/turnout data.)

39

Page 40: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 37: Trump’s Share of the Two-Party Vote by Education and White vs. Non-whiteWomen

Notes: State-level vote intention for white and non-white women by education. Dark red indicates strongersupport for Donald Trump among women and dark blue indicates stronger support for Hillary Clintonamong women. Support for Trump among white women increases from no high school to high schooleducation levels and declines from high school to post graduate education levels. White women with highschool education have the strongest support for Trump. Overall, non-white women have stronger supportfor Clinton, with the exception of some Midwestern states (e.g. North Dakota and Wyoming).(Using Model 1.)

Figure 38: Romney’s Share of the Two-Party Vote by Education and White vs. Non-whiteWomen - 2012 Election

Notes: State-level vote intention for white and non-white women by education. Dark red indicates strongersupport for Mitt Romney among women and dark blue indicates stronger support for Barack Obamaamong women. Support for Romney among White women decreased with education. Regardless of collegeeducation, Obama had strong support among non-White women.(Using Model 1 with 2012 election results/turnout data.)

40

Page 41: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 39: Trump’s Share of the Two-Party Vote by Education for Women

Notes: State-level vote intention for women by education. Dark red indicates stronger support for DonaldTrump among women and dark blue indicates stronger support for Hillary Clinton among women. In moststates, women with high school education have stronger support for Trump and women with post graduateeducation have stronger support for Clinton.(Using Model 1.)

Figure 40: Romney’s Share of the Two-Party Vote by Education for Women - 2012 Election

Notes: State-level vote intention for women by education. Dark red indicates stronger support for MittRomney among women and dark blue indicates stronger support for Barack Obama among women. In moststates, women with high school education had stronger support for Romney and women with post graduateeducation had stronger support for Obama.(Using Model 1 with 2012 election results/turnout data.)

41

Page 42: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

3.2.6. Maps of voter turnout

Figure 41: Voter Turnout by Age and Education

Notes: State-level voter turnout by education and age. Yellow indicates low voter turnout and dark blueindicates high voter turnout. Younger individuals with less education were less likely to vote this election,whereas older individuals with more education were more likely to vote.(Using Model 1.)

42

Page 43: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 42: Voter Turnout by Age and Education for Women

Notes: State-level voter turnout by education and age for women. Yellow indicates low voter turnout anddark blue indicates high voter turnout.(Using Model 1.)

43

Page 44: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 43: Voter Turnout by Age and Education for Men

Notes: State-level voter turnout by education and age for women. Yellow indicates low voter turnout anddark blue indicates high voter turnout.(Using Model 1.)

44

Page 45: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Figure 44: Voter Turnout Gender Gap (men minus women)

Notes: State-level voter turnout gender gap evaluated as voter turnout probability for men minus voterturnout probability for women. Dark green/orange indicates a large turnout gender gap.(Using Model 1.)

4. Discussion

We keep the discussion short as we feel that our main contribution here is to present thesegraphs and maps which others can interpret how they see best, and to share our code sothat others can fit these and similar models on their own.

Some of our findings comport with the broader media narrative developed in the af-termath of the election. We found that white voters with lower educational attainmentsupported Trump nearly uniformly. We did not find that income was a strong predictor ofsupport for Trump, perhaps a continuation of a trend apparent in 2000 through 2012 electiondata. We found the gender gap to be about 10%, which was a bit lower than predicted byexit polls. The marital status gap we estimated was about 2× the figure estimated by exitpolls.

Most surprising to us was the strong age pattern in the gender gap. Older women weremuch more likely to support Clinton than older men, while younger women were mildly morelikely to support Clinton compared to men the same age. We are not sure what accountsfor this difference. One area of future research is using age as a continuous predictor ratherthan binning ages and using the bins as categorical predictors.

45

Page 46: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

Our models predict that men in several state by education categories were more likelyto support Clinton than women. We do not believe this to be true but rather believe itto be a problem with poststratification table sparsity. In order to reduce the number ofpoststratification cells, in future analyses we could poststratify by region rather than state.This would likely not have impacted our descriptive precision in this analysis due to theapparently strong regional patterns in voting behavior in this election.

46

Page 47: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

5. Appendix A - Model Code

We specified our voter turnout model as below:

cbind(vote, did_not_vote) ~ 1 + female + state_pres_vote +

(1 | state) + (1 | age) +

(1 | educ) + (1 + state_pres_vote | eth) +

(1 | marstat) + (1 | marstat:age) +

(1 | marstat:state) + (1 | marstat:eth) +

(1 | marstat:gender) + (1 | marstat:educ) +

(1 | state:gender) + (1 | age:gender) +

(1 | educ:gender) + (1 | eth:gender) +

(1 | state:eth) + (1 | state:age) +

(1 | state:educ) + (1 | eth:age) +

(1 | eth:educ) + (1 | age:educ) +

(1 | state:educ:age) + (1 | educ:age:gender)

We specified our voter preference model as below:

cbind(clinton, trump) ~ 1 + female + state_pres_vote +

(1 | state) + (1 | age) +

(1 | educ) + (1 + state_pres_vote | eth) +

(1 | marstat) + (1 | marstat:age) +

(1 | marstat:state) + (1 | marstat:eth) +

(1 | marstat:gender) + (1 | marstat:educ) +

(1 | state:gender) + (1 | age:gender) +

(1 | educ:gender) + (1 | eth:gender) +

(1 | state:eth) + (1 | state:age) +

(1 | state:educ) + (1 | eth:age) +

(1 | eth:educ) + (1 | age:educ) +

(1 | state:educ:age) + (1 | educ:age:gender)

47

Page 48: Rob Trangucciz Imad Ali Andrew Gelman Doug Rivers y zxgelman/research/unpublished/1802.00842.pdfRob Trangucciz Imad Ali yAndrew Gelman Doug Riverszx 01 February 2018 Abstract We analyzed

References

[1] Yair Ghitza and Andrew Gelman. Deep interactions with MRP: Election turnout andvoting patterns among small electoral subgroups. American Journal of Political Science,57(3):762–776, 2013.

[2] Sarah Flood, Miriam King, Steven Ruggles, and J. Robert Warren. Integrated publicuse microdata series, current population survey: Version 5.0. [dataset], 2017.

[3] Rayleigh Lei, Andrew Gelman, and Yair Ghitza. The 2008 election: A preregisteredreplication analysis. Statistics and Public Policy, 4(1):1–8, 2017.

[4] Andrew Gelman and Thomas C Little. Poststratification into many categories usinghierarchical logistic regression. Survey Methodology, 23(2):127–135, 1997.

[5] Stan Development Team. RStanArm: Bayesian applied regression modeling via Stan. Rpackage version 2.13.1., 2016.

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